Question

Evaluate the inverse trigonometric function. Give the answer in both radians and degrees.

1) π/2 or 90°
2) π/3 or 60°
3) π/4 or 45°
4) π/6 or 30°

Answer 1

To evaluate inverse trigonometric functions, use the unit circle and trigonometric ratios of common angles.

Step-by-step explanation:

Inverse trigonometric functions are mathematical functions that "reverse" the effect of certain trigonometric functions. They are used to find angles when the values of trigonometric ratios are known.

To evaluate the inverse trigonometric functions in radians and degrees, we can use the unit circle. The trigonometric ratios of common angles can help us find the corresponding inverse trigonometric values. Let's evaluate the given angles:

1. π/2 or 90°: The inverse sine of 1 is π/2 or 90°.
2. π/3 or 60°: The inverse sine of 1/2 is π/3 or 60°.
3. π/4 or 45°: The inverse sine of √2/2 is π/4 or 45°.
4. π/6 or 30°: The inverse sine of 1/2 is π/6 or 30°.